Second-order duality for nondifferentiable multiobjective programming involving (Φ,ρ)-univexity

Authors

  • Ganesh Kumar Thakur Department of Applied Sciences, Maharaja Agarsain Institute of Technology, Ghaziabad
  • Bandana Priya Departments of Applied Sciences, R. D. Engg. College, Ghaziabad

DOI:

https://doi.org/10.3126/kuset.v7i1.5426

Keywords:

Second-order (?, ?)-(pseudo/quasi)-convexity, multiobjective programming, second-order duality, duality theorem.

Abstract

The concepts of (Φ, ρ)-invexity have been given by Carsiti,Ferrara and Stefanescu[32]. We consider a second-order dual model associated to a multiobjective programming problem involving support functions and a weak duality result is established under appropriate second-order (Φ, ρ)-univexity conditions.

AMS 2002 Subject Classification: 90C29; 90C30; 90C46.

Key words: Second-order (Φ, ρ)-(pseudo/quasi)-convexity; multiobjective programming; second-order duality; duality theorem.

DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5426

KUSET 2011; 7(1): 92-104  

Downloads

Download data is not yet available.
Abstract
646
PDF
517

Downloads

How to Cite

Thakur, G. K., & Priya, B. (2011). Second-order duality for nondifferentiable multiobjective programming involving (Φ,ρ)-univexity. Kathmandu University Journal of Science, Engineering and Technology, 7(1), 92–104. https://doi.org/10.3126/kuset.v7i1.5426

Issue

Vol. 7 No. 1 (2011)

Section

Original Research Articles

License

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use. If you remix, adapt, or build upon the material, you must license the modified material under identical terms.